Advertisements
Advertisements
प्रश्न
Simplify:
(3x + 5y + 2z)(3x - 5y + 2z)
Advertisements
उत्तर
(3x + 5y + 2z)(3x - 5y + 2z)
= (3x + 2z + 5y)(3x + 2z - 5y)
= (3x + 2z)2 - (5y)2
= 9x2 + 2(3)(2z) + 4z2 - 25y2
= 9x2 - 25y2 + 4z2 + 12xz.
APPEARS IN
संबंधित प्रश्न
Write the following cube in expanded form:
(2x + 1)3
Without actually calculating the cubes, find the value of the following:
(28)3 + (–15)3 + (–13)3
Evaluate the following using identities:
`(a^2b - b^2a)^2`
Find the following product:
\[\left( \frac{x}{2} + 2y \right) \left( \frac{x^2}{4} - xy + 4 y^2 \right)\]
Find the following product:
\[\left( 3 + \frac{5}{x} \right) \left( 9 - \frac{15}{x} + \frac{25}{x^2} \right)\]
Find the following product:
(3x − 4y + 5z) (9x2 +16y2 + 25z2 + 12xy −15zx + 20yz)
If a − b = −8 and ab = −12, then a3 − b3 =
If x + y = 9, xy = 20
find: x - y
Expand the following:
(–x + 2y – 3z)2
Multiply x2 + 4y2 + z2 + 2xy + xz – 2yz by (–z + x – 2y).
